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Finding the Fourth Proportional to 926.35, 1,278.71 and 576.97

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Solution

The fourth proportional to 926.35, 1,278.71 and 576.97 is: 796.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.35 : 1,278.71 = 576.97 : x
  2. Step 2: Convert to fraction form
    926.35/1,278.71 = 576.97/x
  3. Step 3: Cross multiply
    926.35x = 1,278.71 × 576.97
  4. Step 4: Simplify right side
    926.35x = 737,777.31
  5. Step 5: Solve for x
    x = 737,777.31/926.35
  6. Step 6: Final answer
    x = 796.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.